7 papers
The quantum connection and its mod p reduction
Dan Pomerleano, Paul Seidel
Recent progress on the structure of the quantum connection for monotone symplectic manifolds has used two approaches, which share the common feature of reducing to mod coeffici…
The quantum connection, Fourier-Laplace transform, and families of A-infinity-categories
Daniel Pomerleano, Paul Seidel
Take a closed monotone symplectic manifold containing a smooth anticanonical divisor. The quantum connection on its cohomology has singularities at zero and infinity (in the quantu…
Arithmetic geometry of quantum connections on Calabi-Yau -folds
Shaoyun Bai, Jae Hee Lee, Daniel Pomerleano
Fix a prime . Working over , we show that the quantum connection of any closed Calabi-Yau threefold gives rise to a Fontaine-Laffaile module when restricted to…
Coulomb branch algebras via symplectic cohomology
Eduardo Gonzalez, Cheuk Yu Mak, Daniel Pomerleano
Let be a compact symplectic manifold with convex boundary and . Suppose that is equipped with a convex Hamiltonian -action for s…
P-adic Gamma classes and overconvergent Frobenius structures for quantum connections
Shaoyun Bai, Daniel Pomerleano, Paul Seidel
Consider the small quantum connection on a monotone symplectic manifold, with p-adic coefficients. We conjecture that this always admits an overconvergent Frobenius structure, whos…
Integral Kirwan Surjectivity
Daniel Pomerleano, Constantin Teleman
We refine Kirwan's surjectivity and formality theorems for a Hamiltonian G-action on a compact symplectic manifold M. For a regular value of the moment map, we show that the Kirwan…